Question 2 iiSimplify 3-33-3 -

(3+√(3))(3 √(3)) nbsp;=3^2 (√(3))^2 [Using the identity (a+b)(a b)=a^2 b^2] = 9 3 = 6 ...

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Standard IX

Mathematics

Operations on Binomial Surds

Question 2 ii...

Question

Question 2 (ii)
Simplify $(3 + \sqrt{3}) (3 - \sqrt{3})$ .

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Solution

$(3 + \sqrt{3}) (3 - \sqrt{3})$ $= 3^{2} - (\sqrt{3})^{2}$
$[U s i n g t h e i d e n t i t y (a + b) (a - b) = a^{2} - b^{2}]$

= 9 - 3
= 6

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Similar questions

Question 3 (ii)
Simplify:

${(\frac{1}{3^{3}})}^{7}$

Question 2 (ii)
Simplify $(3 + \sqrt{3}) (3 - \sqrt{3})$ .

${(\frac{2}{3})}^{3} \times {(\frac{5}{7})}^{3}$ is equal to

$(a) {(\frac{2}{3} \times \frac{5}{7})}^{9}$
$(b) {(\frac{2}{3} \times \frac{5}{7})}^{6}$
$(c) {(\frac{2}{3} \times \frac{5}{7})}^{3}$
$(d) {(\frac{2}{3} \times \frac{5}{7})}^{0}$

Question 33

Which of the following is not the reciprocal of ${(\frac{2}{3})}^{4}$ ?

(a) ${(\frac{3}{2})}^{4}$

(b) ${(\frac{3}{2})}^{- 4}$

(d) $\frac{3^{4}}{2^{4}}$

Question 19

State whether the given statements are true (T) or false (F).

3 : 33 = 33 : 333

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Operations on Binomial Surds

Standard IX Mathematics

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Question 2 (ii) Simplify (3+√3)(3−√3) .

(3+√3)(3−√3) =32−(√3)2 [Using the identity (a+b)(a−b)=a2−b2] = 9 - 3 = 6

Question 2 (ii)
Simplify $(3 + \sqrt{3}) (3 - \sqrt{3})$ .

$(3 + \sqrt{3}) (3 - \sqrt{3})$ $= 3^{2} - (\sqrt{3})^{2}$
$[U s i n g t h e i d e n t i t y (a + b) (a - b) = a^{2} - b^{2}]$

= 9 - 3
= 6